Joseph: You are wrong on several counts. First of all, there is a Chiyuv(ish) to add a Begged for Davening. If you always wear a hat and jacket, you need something else. Hikon Likras Elokecha Yisrael.
Second of all, where do you think that Jews got their mode of respectful dress from? I know that when I was in preschool I came home after drawing Moshe Rabbeinu coming down from Har Sinai in a hat and jacket, but you don’t actually believe that, do you?